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Inversion Formulas for the Spherical Means in Constant Curvature Spaces
The spherical mean Radon transform thermoacoustic tomography the method of analytic continuation
2011/9/23
Abstract: The work develops further the theory of the following inversion problem, which plays the central role in the rapidly developing area of thermoacoustic tomography and has intimate connections...
Recent Progress on Singularities of Lagrangian Mean Curvature Flow
Recent Progress Singularities of Lagrangian Mean Curvature Flow
2011/1/20
We survey some of the state of the art regarding singu-larities in Lagrangian mean curvature
ow. Some open problems are suggested at the end.
Deforming symplectomorphism of irreducible Hermitian symmetric spaces of compact type by mean curvature flow
K¨ahler-Einstein manifold symplectomorphism mean curvature flow
2010/12/9
In this paper, we generalize Medos-Wang’s arguments and results on the mean curvature flow deformations of symplectomorphisms of CPn in [22] to complex Grassmann manifold G(n, n+m;C) and compact total...
Constant Scalar Curvature Metrics on Boundary Complexes of Cyclic Polytopes
Regge, Einstein-Hilbert, piecewise
2010/12/7
In [7], a notion of constant scalar curvature metrics on piecewise at manifolds is de ned. Such metrics are candidates for canonical metrics on discrete manifolds. In this paper, we de ne a class of v...
Curvature invariants and Generalized Canonical operator models
Cowen-Douglas class Sz.-Nagy-Foias model operator curvature
2010/12/8
There are two models for contraction operators on reproducing kernel Hilbert spaces, that of Sz.-Nagy-Foias introduced in the sixties and the later one from the late seven-ties due to M. Cowen and the...